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Finding the Fourth Proportional to 702.07, 1,051.65 and 614.25

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Solution

The fourth proportional to 702.07, 1,051.65 and 614.25 is: 920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 1,051.65 = 614.25 : x
  2. Step 2: Convert to fraction form
    702.07/1,051.65 = 614.25/x
  3. Step 3: Cross multiply
    702.07x = 1,051.65 × 614.25
  4. Step 4: Simplify right side
    702.07x = 645,976.01
  5. Step 5: Solve for x
    x = 645,976.01/702.07
  6. Step 6: Final answer
    x = 920.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.